398856960 has 180 divisors, whose sum is σ = 1427554128. Its totient is φ = 106334208.

The previous prime is 398856937. The next prime is 398856977. The reversal of 398856960 is 69658893.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 398856897 and 398856906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101757 + ... + 105603.

Almost surely, 2^398856960 is an apocalyptic number.

398856960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713777064).

398856960 is an abundant number, since it is smaller than the sum of its proper divisors (1028697168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398856960 is an equidigital number, since it uses as much as digits as its factorization.

398856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 398856960 is about 19971.4035560849. The cubic root of 398856960 is about 736.1037975851.

The spelling of 398856960 in words is "three hundred ninety-eight million, eight hundred fifty-six thousand, nine hundred sixty".